I was asked at all of my DO interviews what schools I was applying to. That may have been bc my stats were well above the DO average or maybe bc it's common to ask, I don't know
I gave a generalized "I'm applying to a broad range of DO and MD schools bc I know how competitive the process is and am committed to becoming a physician. I'm here today bc I'm very excited about this program and it's at the top of my list." I wasn't pressed further than that.